I have done some research, and while I am unsure of your exact local, in reference to local and county restictions, I will give you some more advise.
In reference to rifles, and shotguns in general. I can find no restriction with the state other then the AWB.
To give you a reference, NYfirearms.com has a breakdown which you may understand better then the penal code itself. The link:
Beyond knowing the exact locale, I can not point you to a better reference. Please forgive me, because I hate to tell you "yes" and then find out later on it is actually "no" so please double check for yourself to ensure you are indeed legal.
I wish you all the best. Also please do not interpret this as legal advice, as I am only trying to point you in the proper direction.
If you wish to read the NY state laws, the best link I can provide is: